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Finding the Fourth Proportional to 641.88, 961.77 and 617.91

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Solution

The fourth proportional to 641.88, 961.77 and 617.91 is: 925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 961.77 = 617.91 : x
  2. Step 2: Convert to fraction form
    641.88/961.77 = 617.91/x
  3. Step 3: Cross multiply
    641.88x = 961.77 × 617.91
  4. Step 4: Simplify right side
    641.88x = 594,287.30
  5. Step 5: Solve for x
    x = 594,287.30/641.88
  6. Step 6: Final answer
    x = 925.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.